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1070725680 = 243256124379
BaseRepresentation
bin111111110100011…
…111101000110000
32202121202111111200
4333310133220300
54143101210210
6254125211200
735351006133
oct7764375060
92677674450
101070725680
114aa440062
1225a700b00
13140aa10bb
14a22bc21a
15640020c0
hex3fd1fa30

1070725680 has 120 divisors (see below), whose sum is σ = 3654952080. Its totient is φ = 280834560.

The previous prime is 1070725679. The next prime is 1070725681. The reversal of 1070725680 is 865270701.

It is an interprime number because it is at equal distance from previous prime (1070725679) and next prime (1070725681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10707256802 = 2292906963622924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1070725681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31731 + ... + 56109.

It is an arithmetic number, because the mean of its divisors is an integer number (30457934).

Almost surely, 21070725680 is an apocalyptic number.

1070725680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827476040).

1070725680 is an abundant number, since it is smaller than the sum of its proper divisors (2584226400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1070725680 is a wasteful number, since it uses less digits than its factorization.

1070725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24459 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1070725680 is about 32721.9449299702. The cubic root of 1070725680 is about 1023.0402944773.

The spelling of 1070725680 in words is "one billion, seventy million, seven hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 24379 43920 48758 73137 97516 121895 146274 195032 219411 243790 292548 365685 390064 438822 487580 585096 731370 877644 975160 1097055 1170192 1462740 1487119 1755288 1950320 2194110 2925480 2974238 3510576 4388220 4461357 5850960 5948476 7435595 8776440 8922714 11896952 13384071 14871190 17552880 17845428 22306785 23793904 26768142 29742380 35690856 44613570 53536284 59484760 66920355 71381712 89227140 107072568 118969520 133840710 178454280 214145136 267681420 356908560 535362840 1070725680